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Finding the Third Proportional to 8,146 and 8,884

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Solution

The third proportional to 8,146 and 8,884 is: 9,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146 : 8,884 = 8,884 : x
  2. Step 2: Convert to fraction form
    8,146/8,884 = 8,884/x
  3. Step 3: Cross multiply
    8,146x = 8,884 × 8,884
  4. Step 4: Simplify right side
    8,146x = 78,925,456
  5. Step 5: Solve for x
    x = 78,925,456/8,146
  6. Step 6: Final answer
    x = 9,688.86

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.